Hey I posted some questions on implicit differentian above but i also need help on relative rates..I understand some..but not all of them. I need help with 2 problems.

A 5-meter-long ladder is leaning against the side of a house. The foot of the ladder is pulled away rom the house at a rate of 0.4 m/sec. Determine how fast the top of the ladder is descending when the foot of the ladder is 3 meters from the house. a. 1.2 m/sec b. -1.2 m/sec c. 0.3 m/sec d. -0.3 m/sec e. None of these

A spherical balloon is inflated at the rate of 16 cubic feet per minute. How fast is the radius of the baloon changing at the instant the radius is 2 feet. a 4"Pie" b.32/3"pie" c. 1/pie d. 2"pie" e none of these

And can you all show me your work. The first problem is i think a 3-4-5 triangle..but i don't know what else to do with it

1) Imagine a triangle that has hypotenuse d, and legs x and y on their respective axis in a coordinate plane.

They ask you for dy/dt when x = 3. They give you dx/dt which is 0.4. They tell you d, which is obviously a constant (the ladder is not going to start growing). Thus, at x = 3, y = 4 by route of 25-9 = y^2. Choose D.